Councillors rubber-stamped the decision at an education resources committee yesterday (Tuesday).
Both the school’s headteacher and chair of the education committee believe naming the school is a massive step towards becoming integrated with the community.
Headteacher Maria Speirs said: “We are working together to create a vibrant new school for children in the area and confirming our name is another step in this exciting journey.”
Education committee chair, Councillor Jean McKeown, echoed those sentiments, saying: “As the school takes shape, excitement is building in the local community and now that the school has a name it feels like it is one step closer to becoming a reality.
“The school is testament to our commitment to education and providing state of the art building in which to teach and learn.”
Construction work is currently ongoing on the seven classroom facility, which will be the first additional school in the Rutherglen and Cambuslang area since the 1970s.
The council say it will “provide a first-class learning environment” when it opens at the start of the next school year.
Parents who live in the catchment area will be asked to enroll their kids next month.
Registration will take place at Hallside Primary between 9am and 11.30am every day on the week beginning Monday, March 4.
The school is being constructed to help deal with population increases in the Halfway area.
A second school at Newton will also be constructed, due to be opened in 2015.
A council spokesperson told the Reformer they were still in negotiations with developers regarding the Newton facility.They added: “Until these are successfully concluded and full planning permission granted, no progress can be made on the design of the new primary school in Newton and unfortunately there is no indicative timescale at this time.
“This also means we cannot confirm exactly what the size of the new primary school will be and what the project will cost.”